The number 16772
16772 is a composite number with 12 divisors. Its prime factorisation is × 7 × 599. Divisors (12): 1, 2, 4, 7, 14, 28, 599, 1198, 2396, 4193, 8386, 16772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16772 is composite. Its prime factorisation is
- 3
The divisors add up to 33600; without 16772 itself that is 16828, so 16772 is abundant (16828 is more than 16772). Euler's totient φ(16772) = 7176 numbers up to 16772 share no factor with it.
- 4
The digits of 16772 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16772 = 2^{2} \times 7 \times 599 \]16772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33600 |
| Euler totient φ(n) | 7176 |
| Square | 281299984 |
| Cube | 4717963331648 |
| Square root | 129.506757 (= 2√4193) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6772 × |
16772 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and seventy-two |
| Binary (base 2) | 100000110000100 |
| Octal (base 8) | 40604 |
| Hexadecimal (base 16) | 4184 |
| Base 3 | 212000012 |
| As time | 16772 seconds = 4 h 39 min 32 s |
Is 16772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16772 ÷ 2 = 8386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16772 ÷ 4 = 4193) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16772 ÷ 7 = 2396) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16772 a prime number?
No. 16772 = × 7 × 599, so it is divisible by 2.
What are the factors of 16772?
1, 2, 4, 7, 14, 28, 599, 1198, 2396, 4193, 8386, 16772.
What is 16772 in binary?
100000110000100 (hexadecimal 4184, octal 40604).
What is the square root of 16772?
About 129.5068, exactly 2√4193.
Is 16772 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16772?
16772 is a happy number: repeatedly adding the squares of its digits reaches 1.